Upper QUpper RUpper S and Upper TUpper UUpper V are similar. Name the corresponding sides and angles.

Question

Q
R
S
T
U
V
Question content area bottom
Part 1
Name the corresponding side.
QR overbar and
  
TU
​(Type two vertices in the correct​ order.)
Part 2
Name the corresponding angle.
angleUpper Q  and  angle
  
enter your response here
​(Type a​ vertex.)

Answer 1

Given that triangles \( \triangle QRS \) and \( \triangle TUV \) are similar, the corresponding sides and angles can be identified as follows:

Part 1: Corresponding Sides

The sides in similar triangles are proportional and correspond to each other based on the order of the vertices.

The side \( \overline{QR} \) corresponds to the side \( \overline{TU} \).

So, you would answer: \[ \overline{QR} \text{ corresponds to } \overline{TU} \]

Part 2: Corresponding Angles

Similarly, the angles in similar triangles correspond to each other based on the order of the vertices.

The angle \( \angle Q \) corresponds to \( \angle T \).

So, you would answer: \[ \angle Q \text{ corresponds to } \angle T \]

In summary, we have:

• Corresponding Sides: \( \overline{QR} \) and \( \overline{TU} \)
• Corresponding Angles: \( \angle Q \) and \( \angle T \)